Linear-$T$ resistivity at high temperature

TL;DR

This paper investigates the robustness of linear-temperature resistivity in strange metals at high temperatures using holographic models, emphasizing the role of strong momentum relaxation in maintaining this property beyond low temperatures.

Contribution

It demonstrates that strong momentum relaxation is crucial for the persistence of linear-$T$ resistivity at high temperatures in holographic models.

Findings

Linear-$T$ resistivity persists at high temperatures with strong momentum relaxation.

Holographic models based on Gubser-Rocha can capture high-temperature behavior.

Momentum relaxation enhances the robustness of linear-$T$ resistivity.

Abstract

The linear-$T$ resistivity is one of the characteristic and universal properties of strange metals. There have been many progress in understanding it from holographic perspective (gauge/gravity duality). In most holographic models, the linear-$T$ resistivity is explained by the property of the infrared geometry and valid at low temperature limit. On the other hand, experimentally, the linear-$T$ resistivity is observed in a large range of temperatures, up to room temperature. By using holographic models related to the Gubser-Rocha model, we investigate how much the linear-$T$ resistivity is robust at higher temperature above the superconducting phase transition temperature. We find that strong momentum relaxation plays an important role to have a robust linear-$T$ resistivity up to high temperature.